My research interest is in low-dimensional topology, geometry,
combinatorial and geometric group theory, and computational complexity.
In recent years most of my research has been on triangulations of 3-manifolds,
decision problems, algorithms and complexity. I am normal but maybe on
occassion only almost normal; however, in the latter case, a small tweak
in either direction and I will become normal.
|Z2-Thurston Norm and Complexity of 3-Manifolds. (preprint)
arXiv:0906.4864 (2009). (with Hyam Rubinstein and Stephan Tillmann)
|Coverings and Minimal Triangulations of 3-Manifolds.
(preprint) arXiv:0903.0112 (2008). (with Hyam Rubinstein and Stephan
|Minimal triangulations for an infinite family of
lens spaces. Journal of Topology 2009 2: 157-180. (with Hyam Rubinstein
and Stephan Tillmann)
|Finding planar surfaces in knot- and link-manifolds.
JKTR, Vol. 18, No.3 (2009) 397-446. (with J. Hyam Rubinstein and Eric
|Layered-triangulations of 3-manifolds.
Preprint, (2006), 96 pages, math.GT/0603601. (with J. Hyam Rubinstein)
| 0-efficient triangulations of three-manifolds.
J. Differential Geometry, 65 (2003), 61-168. (with J. Hyam Rubinstein)
| Decision problems in the space of Dehn fillings.
TOPOLOGY, 42 (2003), 845-906. (with E. Sedgwick)
| Algorithms for essential surfaces in 3-manifold.
Contemporary Mathematics, Vol 314, 2002,
107-124. (with David Letscher and Hyam Rubinstein)
Following is a list of publications. Copies may be requested
from the author.
Publication List (PDF format)